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Finding the Third Proportional to 565,632 and 791,206

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Solution

The third proportional to 565,632 and 791,206 is: 1,106,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,632 : 791,206 = 791,206 : x
  2. Step 2: Convert to fraction form
    565,632/791,206 = 791,206/x
  3. Step 3: Cross multiply
    565,632x = 791,206 × 791,206
  4. Step 4: Simplify right side
    565,632x = 626,006,934,436
  5. Step 5: Solve for x
    x = 626,006,934,436/565,632
  6. Step 6: Final answer
    x = 1,106,738.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.